TopoX: A Suite of Python Packages for Machine Learning on Topological Domains

Aiden Brent; Aldo Guzm\'an-S\'aenz; Alessandro Salatiello; Alexander Nikitin; Ali Zia; Claudio Battiloro; Devendra Govil; Florian Frantzen; Ghada Zamzmi; Guillermo Bern\'ardez

TopoX: A Suite of Python Packages for Machine Learning on Topological Domains

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arxiv 2402.02441 v5 pith:IUH6ZMBS submitted 2024-02-04 cs.LG cs.AIcs.MSstat.CO

Mustafa Hajij , Mathilde Papillon , Florian Frantzen , Jens Agerberg , Ibrahem AlJabea , Rubén Ballester , Claudio Battiloro , Guillermo Bernárdez

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Tolga Birdal Aiden Brent Peter Chin Sergio Escalera Simone Fiorellino Odin Hoff Gardaa Gurusankar Gopalakrishnan Devendra Govil Josef Hoppe Maneel Reddy Karri Jude Khouja Manuel Lecha Neal Livesay Jan Mei{ss}ner Soham Mukherjee Alexander Nikitin Theodore Papamarkou Jaro Prílepok Karthikeyan Natesan Ramamurthy Paul Rosen Aldo Guzmán-Sáenz Alessandro Salatiello Shreyas N. Samaga Simone Scardapane Michael T. Schaub Luca Scofano Indro Spinelli Lev Telyatnikov Quang Truong Robin Walters Maosheng Yang Olga Zaghen Ghada Zamzmi Ali Zia Nina Miolane

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classification cs.LGcs.AIcs.MSstat.CO

keywords domainstopologicaltopoxcomputinggithubhigher-orderhttpslearning

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We introduce TopoX, a Python software suite that provides reliable and user-friendly building blocks for computing and machine learning on topological domains that extend graphs: hypergraphs, simplicial, cellular, path and combinatorial complexes. TopoX consists of three packages: TopoNetX facilitates constructing and computing on these domains, including working with nodes, edges and higher-order cells; TopoEmbedX provides methods to embed topological domains into vector spaces, akin to popular graph-based embedding algorithms such as node2vec; TopoModelX is built on top of PyTorch and offers a comprehensive toolbox of higher-order message passing functions for neural networks on topological domains. The extensively documented and unit-tested source code of TopoX is available under MIT license at https://pyt-team.github.io/}{https://pyt-team.github.io/.

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